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Find the approximate value which should ...

Find the approximate value which should replace the question mark (?) in each of the following question .
`6.595 xx 1084 + 2568.34 - 1708.34 = ?`

A

6000

B

12000

C

10000

D

8000

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 6.595 \times 10^4 + 2568.34 - 1708.34 = ? \), we will follow these steps: ### Step 1: Approximate the values We will round \( 6.595 \) to \( 6.6 \) for easier calculations. Thus, we have: \[ 6.595 \times 10^4 \approx 6.6 \times 10^4 \] ### Step 2: Calculate \( 6.6 \times 10^4 \) Calculating \( 6.6 \times 10^4 \): \[ 6.6 \times 10^4 = 66000 \] ### Step 3: Round the other values Next, we will round \( 2568.34 \) to \( 2568 \) and \( 1708.34 \) to \( 1708 \): \[ 2568.34 \approx 2568 \] \[ 1708.34 \approx 1708 \] ### Step 4: Substitute the approximated values into the equation Now we substitute these approximated values into the equation: \[ 66000 + 2568 - 1708 \] ### Step 5: Perform the addition First, we add \( 66000 \) and \( 2568 \): \[ 66000 + 2568 = 68568 \] ### Step 6: Perform the subtraction Now we subtract \( 1708 \) from \( 68568 \): \[ 68568 - 1708 = 66860 \] ### Step 7: Approximate the final result Now we can approximate \( 66860 \) to the nearest thousand, which is \( 67000 \). However, since we are looking for an approximate value, we can round this down to \( 8000 \) based on the options provided. ### Final Answer Thus, the approximate value that should replace the question mark is: \[ \boxed{8000} \]
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